Question

find the ratio in which the y axis divided the line segments joining the points (5,-6)and (-1,-4) also find the points of interesection​

Answer 1

Step-by-step explanation:

Let the required ratio be m:n

here,x

1

=5,x

2

=−1,y

1

=−6,y

2

=−4

Then, According to question, we have ;

m+n

mx

2

+mx

1

=0

⇒m(−1)+n(5)=0

⇒5n=m

⇒m=5n

⇒

n

m

=

1

5

⇒m:n=5:1

Coordinate of the point of division

=(0,

m+n

my

2

+my

1

)

=(0,

6

5(−4)+1(−6)

)

=(0,

6

−20−6

)

=(0,

3

−13

)